9/100 as a Decimal

Answer

9/100 as a decimal is written as 0.09. It is a terminating decimal, which means it does not continue infinitely.

Explanation

To convert 9/100 into a decimal, we can use the division method. Here, since 9 is smaller than 100, we will use the decimal method, which will give us 0.09. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (9) will be taken as the dividend, and the denominator (100) will be taken as the divisor.

Step 2: As 9 is smaller than 100, it can't be divided directly. Here we will use decimals. We will add a decimal point and a zero to the quotient place, making it possible to divide.

Step 3: Now that we consider 90, we can divide it by 100. Let's see how many times 100 fits into 90.

Step 4: 90 is not a multiple of 100, so we consider 900 by adding another zero to the dividend. Now, 100 fits into 900 exactly 9 times.

Step 5: We write 9 in the quotient place.

The division shows no remainder, confirming that 9/100 is a terminating decimal.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
   
• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
   
• Denominator: The bottom part of a fraction, showing how many parts make up a whole.
   
• Terminating Decimal: A decimal that ends and does not repeat infinitely.